Moe Robinson was born May 29, 1957 in Winchester, Ontario. The brother of Hall of Famer Larry Robinson, Moe Robinson was the 6th choice, 49th overall of the Montreal Canadiens in the 1977 NHL Entry Draft.

A former member of the Gloucester Rangers of the Ontario Hockey Association Junior "B" Hockey League, Robinson played one season with the Kingston Canadians of the Ontario Major Junior Hockey League before joining the Nova Scotia Voyageurs of the American Hockey League in 1977-78.

Robinson spent two full seasons with the Voyageurs before making his NHL debut with Montreal during the 1979-80 season. Even though he spent the majority of the season in Nova Scotia with the Voyageurs, Moe Robinson suited up for his only NHL game and was able to play along side his older brother Larry.

Following his three seasons with Nova Scotia, Robinson joined the Oklahoma City Stars
Central Hockey League in 1980-81, it was to be Moe Robinson's last season of professional hockey.